64646016 has 64 divisors (see below), whose sum is σ = 173971200. Its totient is φ = 21265920.

The previous prime is 64645979. The next prime is 64646027. The reversal of 64646016 is 61064646.

64646016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29271 + ... + 31401.

It is an arithmetic number, because the mean of its divisors is an integer number (2718300).

Almost surely, 2^64646016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86985600).

64646016 is an abundant number, since it is smaller than the sum of its proper divisors (109325184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64646016 is a wasteful number, since it uses less digits than its factorization.

64646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 64646016 is about 8040.2746221755. The cubic root of 64646016 is about 401.3413634985.

The spelling of 64646016 in words is "sixty-four million, six hundred forty-six thousand, sixteen".